Scotland Yard has warned fugitive rioters it is "far from finished" as the force confirmed more than 2,000 suspects have been arrested over the disturbances in London.

Of 2,006 people held by officers over the violence that swept through London earlier this month, 1,135 people have been charged.

Commander Simon Foy said: "I want to send a clear message to those involved that you will not get away with it."

The arrest tally was announced as Home Secretary Theresa May met police and executives from social media networks to see how they could help prevent them being used for criminal behaviour.

But the Government did not seek any additional powers to close down networks such as BlackBerry Messenger, Facebook or Twitter, the Home Office said.

The likes of BlackBerry Messenger - a service which allows users to send free-of-charge real-time messages - enabled yobs to organise their movements during the widespread looting and vandalism across England a fortnight ago.

Following today's meeting, a Home Office spokeswoman said: "The Home Secretary, along with the Culture Secretary and Foreign Office Minister Jeremy Browne, has held a constructive meeting with Acpo (the Association of Chief Police Officers), the police and representatives from the social media industry.

"The discussions looked at how law enforcement and the networks can build on the existing relationships and co-operation to prevent the networks being used for criminal behaviour.

"The Government did not seek any additional powers to close down social media networks."

Figures from the Metropolitan Police show 954 cases have appeared in court, with 82 people sentenced and 42 jailed.

Mr Foy added: "The determination and dedication of officers from all parts of the Met have led to this important milestone but we are far from finished.

"The investigation into the widespread criminality we saw remains a major task on an unprecedented scale.

"We have got to this point with fantastic support from the public and I urge anyone with any information to come forward."

Mr Foy said: "We have made these pictures available so that communities across London can see that those who took part in the appalling scenes which shocked us all have been brought to justice."

Scotland Yard's Operation Withern team has recorded a total 3,443 crimes across the capital linked to the disorder.

Ministers met technology chiefs amid speculation over the possibility of a clampdown on social networking after it was seized upon by troublemakers to incite unprecedented levels of civil disobedience.

Facebook has pointed out that it has already prioritised its review of content on the site that is "egregious during sensitive times like the UK riots", with a view to further reducing the time it took to take such material down and "disincentivise bad actors on the site".

Prime Minister David Cameron told MPs after the riots that the Government was trying to establish how to stop the internet being a tool for troublemakers to organise disruption.

Asked about Twitter's role during the escalating violence in London, Metropolitan Police Acting Commissioner Tim Godwin told the Home Affairs Select Committee last week that he had contemplated seeking the authority to switch it off.

But he added: "The legality of that is very questionable and additionally it is also a very useful intelligence asset."

Tory MP for Corby and East Northamptonshire and avid tweeter Louise Mensch has lent her backing to temporarily blocking activity on social media sites.